Edelstein-Keshet L. Mathematical Models in Biology

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586

Subject

Index

Three–dimensional conservation equa-

tion,

399

Threshold,

286,

313

concentration

for

mutation,

422

population

for

disease,

211,

247

voltage,

316

Thromboembolic disease,

145

Time

scales,

277–278

Tip–branch

anastomosis,

484

Tip–tip

anastomosis,

484

Tissue

culture, 470–477,

489

Topological index theory, 360, 375ff

Topological

properties

of

curves, 375ff

Total differential

of

scalar

function,

353

Trace,

of 2x2

matrix,

15

Tracheids,

287,

289

Trajectory, 169,

173

closed

periodic,

192, 312,

327

heteroclinic, 192–193, 454, 459,

460

homoclinic, 192, 193,

460

Transient solutions,

(diffusion

equa-

tion),

430

Transit time

diffusion,

409, 410–412,

423–424

and

dimensionality,

409

Transition

probability, 464,

487

rule, 542,

543

Transmission,

(disease),

244ff

Transport

active,

316

axonal, 437,

461–463

by

diffusion,

407

nutrient, 273ff

Traveling waves, 317, 437, 447, 450–

460

spread

of

genes,

452–455

Trialeurodes

vaporariorum (greenhouse

whitefly),

82, 83

Trimolecular reactions, 280, 304,

357

Tubular

flow, 395

Tumbles,

480

Tumor,

146

angiogenesis

factor (TAP),

445

growth, 216–217

solid, 157, 216–217,

258

Tuning

a

parameter,

55

Two–compartment model, 149–151

Two–dimensional

manifold,

344

Two–point

cycles,

46–48,

62

Tyrosinase,

550

Uncontrolled growth,

115

Uniform

steady state,

448

Unit

normal vector,

397

Units

conventional,

126

of

measurement,

126

Unstable

node, 185–186,

190

Unstable spiral, 187,

190

Vaccination, 211, 254–256

Van

der Pol

oscillator, 313,

333ff,

337, 360, 365,

548

Variants

of the

chemostat,

154

Vectors, 172,

400

curl,

400,

401

dot

products, 390, 397,

400

field,

177,

375, 376, 391,

401

gradient, 389ff

operations,

400

position,

172

tangent,

175

unit

normal, 397–398

velocity,

173

Vegetation,

90

quality

of,

(See plant quality)

Velocity,

reaction, 300

Velocity

vector,

173

Ventilation

volume, 27–28,

34, 66,

207

Venules,

482

Vertebrate

skin

patterns,

541

Vesicles,

461

Victims/exploiters, 259, 352, 536,

549

Viruses,

242

Visual

cortex, 530,

540

Visual

hallucination patterns,

540

Vital

dynamics, 243, 247, 249,

263

Voles,

267

Voltage,

320

clamp experiment, 318,

321

Fitzhugh's convention,

324

oscillation,

336

oscillation,

giant muscle

fiber of

barnacle,

366

threshold,

316

Volumetric

receptor concentration,

274

Wake,

sleep cycles,

362

Wave

fronts,

chemical,

485

Wave

speed,

439–441, 455,

460

Wavenumber,

504ff

permissible

perturbations,

508

Waves

traveling, 317, 437, 447, 449ff

Waves

of

disease,

65

WBCs

(See White blood cells)

Well–posed

problem,

414

Whales, krill,

265

White

blood cells,

60

Whooping cough,

255

Wing

disc,

526

Worms,

242

Xylem,

287,

289

Yeast

cell–glucose model,

456–459

Yield, 119, 122,

442

Zebras,

530

Zeiraphera

diniana (moth),

77, 103

Zones

of

toxicity,

416

Zooplankton,

536